Answer:
Step-by-step explanation:
total length = 6 + 6 + 6 = 18 cm
total breadth = 3 + 3 + 3 = 9 cm
perimeter = 2 ( l + b )
= 2 ( 18 + 9 )
= 2 × 27
54
Answer:
8.1/2.2
Step-by-step explanation:
(1.1 +7)/(-9*1.1+4)
8.1/2.2
= -8.1/2.2
B: $195
C: $210
D: $225
Answer:
Option B.
Step-by-step explanation:
Let x be the number of cans of beans and y be the number of cans of corn.
Cafeteria’s budget allows it to purchase at most 60 cans of beans and 45 cans of corn.
1 can of beans feeds 5 students, and 1 can of corn feeds 6 students. Each student will have beans or corn, but not both, and there will be a maximum of 420 students at lunch.
Can of beans cost $2.00 and a can of corn cost $3.00.
Objective function, Z=2x+3y
The required linear programming problem is
Objective function, Z=2x+3y
Subject to the constraints
(Only 1st quadrant)
Draw the graph of these constraints as shown below.
The verities of common shaded region are (0,45), (30,45), (60,20), (60,0), (0,0).
Points Z=2x+3y
(0,0) 0
(0,45) 135
(30,45) 195
(60,20) 180
(60,0) 120
The maximum amount of money required to feed all of the students either beans or corn is $195.
Number of cans of beans = 30
Number of cans of corn = 45
Therefore, the correct option is B.
Answer: 336 oz
Step-by-step explanation: three 64 oz cartons = 3 * 64 = 192 oz
three 48 oz cans = 3 * 48 = 144 oz
192 + 144 = 336 oz <== total juice
Answer:
(4,1)
Step-by-step explanation:
The vertex of the quadratic can be found using -b/2a. The vertex is the point (-b/2a, f(-b/2a)).
To find the x coordinate of the quadratic, define its a,b, and c. The quadratic has a = 2, b=-16, and c=31. Then -b/2a is -(-16)/2(2) = 16/4 = 4.
To find the y-coordinate, input the x=4 and solve for y.
The vertex is (4,1).